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Wilt's has a stock price of $38 a share

Finance Dec 28, 2020

Wilt's has a stock price of $38 a share. The 9-month options have a strike price of $45. The risk-free rate is 3.2 percent, the standard deviation is 21 percent, N(d1) is 0.23985 and N(d2) is 0.18710. What is the call price?

Expert Solution

Present Value factor using Continuous Compounding

rf = 3.2% Months = 9

3.2% x 9/12 = 2.4%

1 + 0.024 + 0.0242 / 2 = 1.024 + .0003 = 1.0243

PV Factor = 1 / 1.0243 = 0.97629

Value of call or Call Price

= N(d1) x Stock price - N(d2) x Present Value of Exercise price

= 0.23985 x 38 - 0.18710 x 45 x 0.97629

= 0.8944

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